SOLUTION: Given the function f(x)=(x-4)^{2}, where x is greater than or equal to 4, find the f^{-1}(x) and its domain.

Algebra ->  Functions -> SOLUTION: Given the function f(x)=(x-4)^{2}, where x is greater than or equal to 4, find the f^{-1}(x) and its domain.      Log On


   



Question 959112: Given the function f(x)=(x-4)^{2}, where x is greater than or equal to 4, find the f^{-1}(x) and its domain.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given the function f(x)=(x-4)^{2}, where x is greater than or equal to 4, find the f^{-1}(x) and its domain.
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1st:: Interchange x and y::
x = (y-4)^2
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2nd:: Solve for "y"::
y-4 = sqrt(x)
y = sqrt(x)+4
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Domain:: All Real Numbers >= 0
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Cheers,
Stan H.
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